Topology-free Defomation Between Smooth Manifolds

Maintaining a moving mesh of a deforming surface is widely studied in various disciplines. However, difficulties arise with requirements of topology changes, homeomorphism between mesh and surface, and guarantees of triangle quality. This book proposes a mesh deformation algorithm to satisfy the above requirements. The general skin surface deformation framework is deployed to approximate objects and morph them freely in 3-dimension. This work completes the general skin deformation framework by introducing a new mesh point movement and scheduling function to overcome the previous difficulties.

Autorentext

Ke Yan is currently a post-doctoral research fellow in Masdar Institue, Abu Dhabi. He received his Ph.D certificate on smooth surface deformation from National University of Singapore. His current research interests include Computer-aided Mathematical Modeling, Graphical Design, and etc.